Some Simplicial Complexes of Universal Osborn Loops

Abstract
A loop is shown to be a universal Osborn loop if and only if it has a particular simplicial complex. A loop is shown to be a universal Osborn loop and obeys two new identities if and only if it has another particular simplicial complex. A universal Osborn loop and four of its isotopes are shown to form a rectangular pyramid in a 3-dimensional space.
Language: English
Page range: 65 - 79
Submitted on: May 22, 2014
Accepted on: Jun 30, 2014
Published on: Dec 11, 2014
Published by: West University of Timisoara
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open
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© 2014 Jaíyéọlá Témítọ́pẹ́ Gbóláhán, published by West University of Timisoara
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.